Theory of Inhomogeneous Rod-like Coulomb Fluids

Podgornik, Rudolf

doi:10.3390/sym13020274

Cited by 5 publications

(8 citation statements)

References 55 publications

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“…We will now first write the interactions in terms of these microscopic order parameters and then in the form of macroscopic collective coordinates in exactly the same way as this is done for standard Coulomb fluids and/or for nematic Coulomb fluids [31]. The interactions in the system have the following components: The nonelectrostatic interactions in the harmonic approximation,…”

Section: Order Parameters and Microscopic Interactionsmentioning

confidence: 99%

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Field theory of structured liquid dielectrics

Blossey

Podgornik

2022

Phys. Rev. Research

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We develop a field-theoretic approach for the treatment of both the nonlocal and the nonlinear response of structured liquid dielectrics. Our systems of interest are composed of dipolar solvent molecules and simple salt cations and anions. We describe them by two independent order parameters, the polarization field for the solvent and the charge-density field for the ions, including and treating the nonelectrostatic part of the interactions explicitly and consistently. We show how to derive functionals for the polarization and the electrostatic field of increasingly finer scales and solve the resulting mean-field saddle-point equations in the linear regime. We derive criteria for the character of their solutions that depend on the structural lengths and the polarity of the solvent. Our approach provides a systematic way to derive generalized polarization theories.

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Section: Order Parameters and Microscopic Interactionsmentioning

confidence: 99%

“…To express the partition function in the form of a field theory, we take the same approach as with anisotropic Coulomb fluids [31], the outlines of which we briefly reiterate below.…”

Section: Appendix A: Collective Description and Field Theorymentioning

confidence: 99%

Field theory of structured liquid dielectrics

Blossey

Podgornik

2022

Phys. Rev. Research

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“…Our approach begins with the identification of the appropriate order parameters; for a motivation, see, e.g. [13]. For the simple electrolyte component we can define the cation and anion density fields…”

Section: Bulk Equationsmentioning

confidence: 99%

A comprehensive continuum theory of structured liquids

Blossey

Podgornik

2023

J. Phys. A: Math. Theor.

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We develop a comprehensive continuum model capable of treating both electrostatic and structural interactions in liquid dielectrics. Starting from a two-order parameter description in terms of charge density and polarization, we derive a field-theoretic model generalizing previous theories. Our theory explicitly includes electrostatic and structural interactions in the bulk of the liquid and allows for polarization charges within a Drude model. In particular we provide a detailed description of the boundary conditions which include the charge regulation mechanism and surface polarization, which is explained both in general terms and analyzed for an exemplary model case. Future applications of our theory to predict and validate experimental results are outlined.

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“…Our approach begins with the identification of the appropriate order parameters; for a motivation, see, e.g., Ref. [13]. For the simple electrolyte component we can define the cation and anion density fields…”

Section: Bulk Equationsmentioning

confidence: 99%

“…Decoupling the local free energy functional into a volume and surface part allows us to derive not only the bulk Euler-Lagrange equations, but also their surface counterpart, see Ref. [13], a.k.a. the boundary conditions.…”

Section: Boundary Terms and Boundary Conditionsmentioning

confidence: 99%

A comprehensive continuum theory of structured liquids

Blossey¹,

Podgornik²

2022

Preprint

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We develop a comprehensive continuum model capable of treating both electrostatic and structural interactions in liquid dielectrics. Starting from a twoorder parameter description in terms of charge density and polarization, we derive a field-theoretic model generalizing previous theories. Our theory explicitly includes electrostatic and structural interactions in the bulk of the liquid and allows for polarization charges within a Drude model. In particular, we develop a detailed description of the boundary conditions which include the charge regulation mechanism and surface polarization. The general features for solving the saddle-point equations of our model are elucidated and future applications to predict and validate experimental results are outlined.

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Theory of Inhomogeneous Rod-like Coulomb Fluids

Cited by 5 publications

References 55 publications

Field theory of structured liquid dielectrics

Field theory of structured liquid dielectrics

A comprehensive continuum theory of structured liquids

A comprehensive continuum theory of structured liquids

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